A357586 Triangle read by rows. Convolution triangle of A002467 (number of permutations with fixed points).

1, 0, 1, 0, 1, 1, 0, 4, 2, 1, 0, 15, 9, 3, 1, 0, 76, 38, 15, 4, 1, 0, 455, 198, 70, 22, 5, 1, 0, 3186, 1182, 378, 112, 30, 6, 1, 0, 25487, 8115, 2274, 629, 165, 39, 7, 1, 0, 229384, 63266, 15439, 3840, 965, 230, 49, 8, 1, 0, 2293839, 554656, 117921, 25966, 6006, 1401, 308, 60, 9, 1

Offset: 0

Author

Peter Luschny, Oct 09 2022

Keywords

• nonn
• tabl

Examples

			[0] 1;
[1] 0,      1;
[2] 0,      1,     1;
[3] 0,      4,     2,     1;
[4] 0,     15,     9,     3,    1;
[5] 0,     76,    38,    15,    4,   1;
[6] 0,    455,   198,    70,   22,   5,   1;
[7] 0,   3186,  1182,   378,  112,  30,   6,  1;
[8] 0,  25487,  8115,  2274,  629, 165,  39,  7,  1;
[9] 0, 229384, 63266, 15439, 3840, 965, 230, 49,  8,  1;
		

Crossrefs

Cf. A002467.

Programs

Maple

# Uses function PMatrix from A357368.
PMatrix(10, n -> simplify(GAMMA(n+1) - GAMMA(n+1, -1)*exp(-1)));